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Abstract
We give various near-optimal characterizations of random walks over finite
abelian groups with large maximum discrepancy from the uniform measure.
We also provide several interesting connections to existing results in the
literature.
Keywords
Littlewood–Offord, anticoncentration, inverse problems
Mathematical Subject Classification
Primary: 11B25, 60B15
Milestones
Received: 21 August 2023
Revised: 31 December 2023
Accepted: 16 January 2024
Published: 13 March 2024
© 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers).